Prof. Dr. Robert Schaback

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  • 2022 | Preprint
    ​ ​Scaling of Radial Basis Functions​
    Larsson, E.& Schaback, R. ​ (2022)
    ​Details  arXiv 
  • 2022 | Preprint
    ​ ​Small Errors Imply Large Instabilities​
    Schaback, R. ​ (2022)
    ​Details  arXiv 
  • 2021 | Preprint
    ​ ​$H$-Sets for Kernel-Based Spaces​
    Schaback, R. ​ (2021)
    ​Details  arXiv 
  • 2021 | Journal Article
    ​ ​An Approximation Theorist’s view on solving operator equations—With special attention to Trefftz, MFS, MPS, and DRM methods​
    Schaback, R. ​ (2021) 
    Computers & Mathematics with Applications, 88 pp. 70​-77​.​ DOI: https://doi.org/10.1016/j.camwa.2019.09.005 
    ​Details  DOI 
  • 2021 | Preprint
    ​ ​Geometric Analysis of Vision Cues for the Flare​
    Schaback, R. ​ (2021)
    ​Details 
  • 2020 | Preprint
    ​ ​Modelling Recovered Cases and Death Probabilities for the COVID-19 Outbreak​
    Schaback, R. ​ (2020)
    ​Details  arXiv 
  • 2020 | Journal Article
    ​ ​Nachruf auf Erhard Heinz​
    Schaback, R. ​ (2020) 
    Jahrbuch der Akademie der Wissenschaften zu Göttingen, 2018 pp. 93​-102​.​
    ​Details 
  • 2020 | Journal Article
    ​ ​A nonlinear discretization theory for meshfree collocation methods applied to quasilinear elliptic equations​
    Böhmer, K. & Schaback, R. ​ (2020) 
    ZAMM, 100(10).​ DOI: https://doi.org/10.1002/zamm.201800170 
    ​Details  DOI 
  • 2020 | Journal Article | 
    ​ ​On COVID-19 Modelling​
    Schaback, R. ​ (2020) 
    Jahresbericht der Deutschen Mathematiker-Vereinigung, 122(3) pp. 167​-205​.​ DOI: https://doi.org/10.1365/s13291-020-00219-9 
    ​Details  DOI 
  • 2019 | Preprint
    ​ ​A Greedy Method for Solving Classes of PDE Problems​
    Schaback, R. ​ (2019)
    ​Details  arXiv 
  • 2019 | Book Chapter
    ​ ​Daten, Prozesse und Information​
    Schaback, R. ​ (2019)
    In:​Fritz, Hans-Joachim; Schaback, Robert​ (Eds.), Die Natur der Information: Beiträge aus der Arbeit der gleichnamigen Forschungskommission der Akademie der Wissenschaften zu Göttingen pp. 183​-193. ​Göttingen: ​Universitätsverlag Göttingen.
    ​Details 
  • 2019 | Book Chapter
    ​ ​Definitionen von Information​
    Schaback, R. ​ (2019)
    In:​Fritz, Hans-Joachim; Schaback, Robert​ (Eds.), Die Natur der Information: Beiträge aus der Arbeit der gleichnamigen Forschungskommission der Akademie der Wissenschaften zu Göttingen pp. 11​-25. ​Göttingen: ​Universitätsverlag Göttingen.
    ​Details 
  • 2019 | Journal Article
    ​ ​On the fractional derivatives of radial basis functions: Theories and applications​
    Saberi Zafarghandi, F.; Mohammadi, M. & Schaback, R. ​ (2019) 
    Mathematical Methods in the Applied Sciences, 42(11) pp. 3877​-3899​.​ DOI: https://doi.org/10.1002/mma.5618 
    ​Details  DOI 
  • 2019 | Anthology | 
    ​ ​Die Natur der Information: ​Beiträge aus der Arbeit der gleichnamigen Forschungskommission der Akademie der Wissenschaften zu Göttingen​ ​
    Fritz, H.-J.& Schaback, R. ​ (Eds.) (2019)
    Göttingen: ​Universitätsverlag Göttingen. DOI: https://doi.org/10.17875/gup2019-1157 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​H2-Convergence of Least-Squares Kernel Collocation Methods​
    Cheung, K. C.; Ling, L. & Schaback, R. ​ (2018) 
    SIAM Journal on Numerical Analysis, 56(1) pp. 614​-633​.​ DOI: https://doi.org/10.1137/16M1072863 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Minimal numerical differentiation formulas​
    Davydov, O. & Schaback, R. ​ (2018) 
    Numerische Mathematik, 140(3) pp. 555​-592​.​ DOI: https://doi.org/10.1007/s00211-018-0973-3 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Superconvergence of kernel-based interpolation​
    Schaback, R. ​ (2018) 
    Journal of Approximation Theory, 235 pp. 1​-19​.​ DOI: https://doi.org/10.1016/j.jat.2018.05.002 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​A meshfree method for solving the Monge–Ampère equation​
    Böhmer, K. & Schaback, R. ​ (2018) 
    Numerical Algorithms, 82(2) pp. 539​-551​.​ DOI: https://doi.org/10.1007/s11075-018-0612-1 
    ​Details  DOI 
  • 2017 | Preprint
    ​ ​A Simple Solution for Maximum Range Flight​
    Schaback, R. ​ (2017)
    ​Details  arXiv 
  • 2017 | Journal Article
    ​ ​Convergence analysis of general spectral methods​
    Mohammadi, M. & Schaback, R. ​ (2017) 
    Journal of Computational and Applied Mathematics, 313 pp. 284​-293​.​ DOI: https://doi.org/10.1016/j.cam.2016.09.031 
    ​Details  DOI  WoS 
  • 2017 | Book Chapter
    ​ ​Error Analysis of Nodal Meshless Methods​
    Schaback, R. ​ (2017)
    In:​Griebel, Michael; Schweitzer, Marc Alexander​ (Eds.), Meshfree Methods for Partial Differential Equations VIII pp. 117​-143. ​Springer. DOI: https://doi.org/10.1007/978-3-319-51954-8_7 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Kernel-based adaptive approximation of functions with discontinuities​
    Lenarduzzi, L. & Schaback, R. ​ (2017) 
    Applied Mathematics and Computation, 307 pp. 113​-123​.​ DOI: https://doi.org/10.1016/j.amc.2017.02.043 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​Optimal stencils in Sobolev spaces​
    Davydov, O. & Schaback, R. ​ (2017) 
    IMA Journal of Numerical Analysis,.​ DOI: https://doi.org/10.1093/imanum/drx076 
    ​Details  DOI 
  • 2016 | Journal Article
    ​ ​All well-posed problems have uniformly stable and convergent discretizations​
    Schaback, R. ​ (2016) 
    Numerische Mathematik, 132(3) pp. 597​-630​.​ DOI: https://doi.org/10.1007/s00211-015-0731-8 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Error bounds for kernel-based numerical differentiation​
    Davydov, O. & Schaback, R. ​ (2016) 
    Numerische Mathematik, 132(2) pp. 243​-269​.​ DOI: https://doi.org/10.1007/s00211-015-0722-9 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Approximation of eigenfunctions in kernel-based spaces​
    Santin, G. & Schaback, R. ​ (2016) 
    Advances in Computational Mathematics, 42(4) pp. 973​-993​.​ DOI: https://doi.org/10.1007/s10444-015-9449-5 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​Radial kernels via scale derivatives​
    Bozzini, M.; Rossini, M.; Schaback, R.   & Volonte, E.​ (2015) 
    Advances in Computational Mathematics, 41(2) pp. 277​-291​.​ DOI: https://doi.org/10.1007/s10444-014-9366-z 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​Direct meshless kernel techniques for time-dependent equations​
    Hong, Y.-C. & Schaback, R. ​ (2015) 
    Applied Mathematics and Computation, 258 pp. 220​-226​.​ DOI: https://doi.org/10.1016/j.amc.2014.12.140 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​Interpolation with variably scaled kernels​
    Bozzini, M.; Lenarduzzi, L.; Rossini, M. & Schaback, R. ​ (2015) 
    IMA Journal of Numerical Analysis, 35(1) pp. 199​-219​.​ DOI: https://doi.org/10.1093/imanum/drt071 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​Prony's Method for Multivariate Signals​
    Peter, T.; Plonka-Hoch, G.   & Schaback, R. ​ (2015) 
    Proceedings in Applied Mathematics and Mechanics, 15(1) pp. 665​-666​.​ DOI: https://doi.org/10.1002/pamm.201510322 
    ​Details  DOI 
  • 2015 | Encyclopedia Article
    ​ ​Multivariate Approximation​
    Schaback, R. ​ (2015)
    Encyclopedia of Applied and Computational Mathematics 
    Berlin​: Springer.
    ​Details 
  • 2015 | Encyclopedia Article
    ​ ​Shift-Invariant Approximation​
    Schaback, R. ​ (2015)
    Encyclopedia of Applied and Computational Mathematics 
    Berlin​: Springer.
    ​Details 
  • 2015 | Journal Article
    ​ ​A computational tool for comparing all linear PDE solvers​
    Schaback, R. ​ (2015) 
    Advances in Computational Mathematics, 41(2) pp. 333​-355​.​ DOI: https://doi.org/10.1007/s10444-014-9360-5 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​A Meshless Method for Solving the 2D Brusselator Reaction-Diffusion System​
    Mohammadi, M.; Mokhtari, R. & Schaback, R. ​ (2014) 
    Computer Modeling in Engineering & Sciences, 101(2) pp. 113​-138​.​
    ​Details  WoS 
  • 2014 | Journal Article
    ​ ​Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method​
    Mirzaei, D. & Schaback, R. ​ (2014) 
    Numerical Algorithms, 65(2) pp. 275​-291​.​ DOI: https://doi.org/10.1007/s11075-013-9711-1 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​Greedy sparse linear approximations of functionals from nodal data​
    Schaback, R. ​ (2014) 
    Numerical Algorithms, 67(3) pp. 531​-547​.​ DOI: https://doi.org/10.1007/s11075-013-9806-8 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​Die Beiträge von Carl-Friedrich Gauß zur Numerischen Mathematik​
    Schaback, R. ​ (2014) 
    Mitteilungen (Gauss-Gesellschaft e.V., Göttingen), 51 pp. 63​-86​.​
    ​Details 
  • 2014 | Journal Article
    ​ ​The meshless Kernel-based method of lines for parabolic equations​
    Hong, Y.-C.; Schaback, R.   & Zhong, M.​ (2014) 
    Computers & Mathematics with Applications, 68(12) pp. 2057​-2067​.​ DOI: https://doi.org/10.1016/j.camwa.2014.09.015 
    ​Details  DOI  WoS 
  • 2013 | Blog Post
    ​ ​Helmut Werner. A vita for the website "History of Approximation Theory"​
    Schaback, R. ​ (2013)
    In: History of Approximation Theory​
    ​Details 
  • 2013 | Blog Post
    ​ ​Publications of Helmut Werner: ​A commented list, for the website "History of Approximation Theory"​
    Schaback, R. ​ (2013)
    In: History of Approximation Theory​
    ​Details 
  • 2013 | Journal Article
    ​ ​The meshless kernel-based method of lines for solving the equal width equation​
    Dereli, Y. & Schaback, R. ​ (2013) 
    Applied Mathematics and Computation, 219(10) pp. 5224​-5232​.​ DOI: https://doi.org/10.1016/j.amc.2012.10.086 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Solving the 3D Laplace equation by meshless collocation via harmonic kernels​
    Hong, Y.-C. & Schaback, R. ​ (2013) 
    Advances in Computational Mathematics, 38(1) pp. 1​-19​.​ DOI: https://doi.org/10.1007/s10444-011-9224-1 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Direct Meshless Local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation​
    Mirzaei, D. & Schaback, R. ​ (2013) 
    Applied Numerical Mathematics, 68 pp. 73​-82​.​ DOI: https://doi.org/10.1016/j.apnum.2013.01.002 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Interpolation and approximation in Taylor spaces​
    Zwicknagl, B. & Schaback, R. ​ (2013) 
    Journal of Approximation Theory, 171 pp. 65​-83​.​ DOI: https://doi.org/10.1016/j.jat.2013.03.006 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​A nonlinear discretization theory​
    Boehmer, K. & Schaback, R. ​ (2013) 
    Journal of Computational and Applied Mathematics, 254 pp. 204​-219​.​ DOI: https://doi.org/10.1016/j.cam.2013.03.029 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Direct Discretizations with Applications to Meshless Methods for PDEs​
    Schaback, R. ​ (2013) 
    Dolomites Research Notes on Approximation, 6 pp. 37​-51​.​
    ​Details 
  • 2013 | Journal Article
    ​ ​Bases for conditionally positive definite kernels​
    Pazouki, M. & Schaback, R. ​ (2013) 
    Journal of Computational and Applied Mathematics, 243 pp. 152​-163​.​ DOI: https://doi.org/10.1016/j.cam.2012.10.023 
    ​Details  DOI  WoS 
  • 2013 | Journal Article
    ​ ​Error estimates and condition numbers for radial basis function interpolation​
    Schaback, R. ​ (2013) 
    Advances in Computational Mathematics, 3(3) pp. 251​-264​.​ DOI: https://doi.org/10.1007/BF02432002 
    ​Details  DOI 
  • 2013 | Journal Article | 
    ​ ​Interpolation of spatial data - A stochastic or a deterministic problem?​
    Scheuerer, M.; Schaback, R.   & Schlather, M.​ (2013) 
    European Journal of Applied Mathematics, 24 pp. 601​-629​.​ DOI: https://doi.org/10.1017/S0956792513000016 
    ​Details  DOI  WoS 
  • 2012 | Conference Paper
    ​ ​Direct Error Bounds for Symmetric RBF Collocation​
    Schaback, R. ​ (2012)
    ​Proceedings. ​Meshless Methods in Science and Engineering​, Porto.
    ​Details 
  • 2012 | Journal Article
    ​ ​Generalized Whittle–Matérn and polyharmonic kernels​
    Bozzini, M.; Rossini, M. & Schaback, R. ​ (2012) 
    Advances in Computational Mathematics, 39(1) pp. 129​-141​.​ DOI: https://doi.org/10.1007/s10444-012-9277-9 
    ​Details  DOI 
  • 2012 | Journal Article
    ​ ​On generalized moving least squares and diffuse derivatives​
    Mirzaei, D.; Schaback, R.   & Dehghan, M.​ (2012) 
    IMA Journal of Numerical Analysis, 32(3) pp. 983​-1000​.​ DOI: https://doi.org/10.1093/imanum/drr030 
    ​Details  DOI  WoS 
  • 2011 | Conference Paper
    ​ ​Bases for kernel-based spaces​
    Pazouki, M. & Schaback, R. ​ (2011)
    Journal of Computational and Applied Mathematics, 236(4) pp. 575​-588. ​International Workshop on Multivariate Approximation and Interpolation with Applications (MAIA)​, Int Ctr Math Sci (ICMS), Edinburgh, SCOTLAND.
    Amsterdam​: Elsevier Science. DOI: https://doi.org/10.1016/j.cam.2011.05.021 
    ​Details  DOI  WoS 
  • 2011 | Preprint
    ​ ​MATLAB Programming for Kernel-Based Methods​
    Schaback, R. ​ (2011)
    ​Details 
  • 2011 | Journal Article | 
    ​ ​The missing Wendland functions​
    Schaback, R. ​ (2011) 
    Advances in Computational Mathematics, 34(1) pp. 67​-81​.​ DOI: https://doi.org/10.1007/s10444-009-9142-7 
    ​Details  DOI  WoS 
  • 2010 | Book Chapter
    ​ ​Sampling and Stability​
    Rieger, C.; Schaback, R.  & Zwicknagl, B.​ (2010)
    In:​Dæhlen, Morten; Floater, Michael; Lyche, Tom; Merrien, Jean-Louis; Mørken, Knut; Schumaker, Larry L.​ (Eds.), Mathematical Methods for Curves and Surfaces pp. 347​-369. ​Berlin: ​Springer. DOI: https://doi.org/10.1007/978-3-642-11620-9_23 
    ​Details  DOI 
  • 2010 | Journal Article | 
    ​ ​Unsymmetric meshless methods for operator equations​
    Schaback, R. ​ (2010) 
    Numerische Mathematik, 114(4) pp. 629​-651​.​ DOI: https://doi.org/10.1007/s00211-009-0265-z 
    ​Details  DOI  WoS 
  • 2010 | Journal Article | 
    ​ ​Stability of kernel-based interpolation​
    De Marchi, S. & Schaback, R. ​ (2010) 
    Advances in Computational Mathematics, 32(2) pp. 155​-161​.​ DOI: https://doi.org/10.1007/s10444-008-9093-4 
    ​Details  DOI  WoS 
  • 2009 | Journal Article
    ​ ​On convergent numerical algorithms for unsymmetric collocation​
    Lee, C.-F.; Ling, L. & Schaback, R. ​ (2009) 
    Advances in Computational Mathematics, 30(4) pp. 339​-354​.​ DOI: https://doi.org/10.1007/s10444-008-9071-x 
    ​Details  DOI  WoS 
  • 2009 | Journal Article
    ​ ​An improved subspace selection algorithm for meshless collocation methods​
    Ling, L. & Schaback, R. ​ (2009) 
    International Journal for Numerical Methods in Engineering, 80(13) pp. 1623​-1639​.​ DOI: https://doi.org/10.1002/nme.2674 
    ​Details  DOI  WoS 
  • 2009 | Journal Article
    ​ ​Recursive Kernels​
    Mouattamid, M. & Schaback, R. ​ (2009) 
    Analysis in Theory and Applications, 25(4) pp. 301​-316​.​ DOI: https://doi.org/10.1007/s10496-009-0301-y 
    ​Details  DOI 
  • 2009 | Journal Article
    ​ ​Nonstandard Kernels and Their Applications​
    Schaback, R.   & De Marchi, S.​ (2009) 
    Dolomites Research Notes on Approximation, 2 pp. 16​-43​.​
    ​Details 
  • 2009 | Journal Article
    ​ ​A Newton basis for Kernel spaces​
    Mueller, S. & Schaback, R. ​ (2009) 
    Journal of Approximation Theory, 161(2) pp. 645​-655​.​ DOI: https://doi.org/10.1016/j.jat.2008.10.014 
    ​Details  DOI  WoS 
  • 2009 | Journal Article | 
    ​ ​Solving the Laplace equation by meshless collocation using harmonic kernels​
    Schaback, R. ​ (2009) 
    Advances in Computational Mathematics, 31(4) pp. 457​-470​.​ DOI: https://doi.org/10.1007/s10444-008-9078-3 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Stable and convergent unsymmetric meshless collocation methods​
    Ling, L. & Schaback, R. ​ (2008) 
    SIAM Journal on Numerical Analysis, 46(3) pp. 1097​-1115​.​ DOI: https://doi.org/10.1137/06067300X 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Limit problems for interpolation by analytic radial basis functions​
    Schaback, R. ​ (2008) 
    Journal of Computational and Applied Mathematics, 212(2) pp. 127​-149​.​ DOI: https://doi.org/10.1016/j.cam.2006.11.023 
    ​Details  DOI 
  • 2008 | Book Chapter
    ​ ​An adaptive numerical solution of MFS systems​
    Schaback, R. ​ (2008)
    In:​Chen, C. S.; Karageorghis, A.; Smyrlis, Y. S.​ (Eds.), The Method of Fundamental Solutions - A Meshless Method pp. 1​-27. ​Dynamic Publishers.
    ​Details 
  • 2008 | Journal Article
    ​ ​Recovery of functions from weak data using unsymmetric meshless kernel-based methods​
    Schaback, R. ​ (2008) 
    Applied Numerical Mathematics, 58(5) pp. 726​-741​.​ DOI: https://doi.org/10.1016/j.apnum.2007.02.009 
    ​Details  DOI 
  • 2007 | Journal Article
    ​ ​Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods​
    Schaback, R. ​ (2007) 
    SIAM Journal on Numerical Analysis, 45(1) pp. 333​-351​.​ DOI: https://doi.org/10.1137/050633366 
    ​Details  DOI 
  • 2007 | Conference Abstract
    ​ ​A Posteriori Error Estimates for Meshless Methods​
    Schaback, R. ​ (2007)
    ​ECCOMAS​
    ​Details 
  • 2006 | Journal Article
    ​ ​Kernel B-splines and interpolation​
    Bozzini, M.; Lenarduzzi, L. & Schaback, R. ​ (2006) 
    Numerical Algorithms, 41(1) pp. 1​-16​.​ DOI: https://doi.org/10.1007/s11075-005-9000-8 
    ​Details  DOI  WoS 
  • 2006 | Journal Article
    ​ ​Linearly constrained reconstruction of functions by kernels with applications to machine learning​
    Schaback, R.   & Werner, J.​ (2006) 
    Advances in Computational Mathematics, 25(1-3) pp. 237​-258​.​ DOI: https://doi.org/10.1007/s10444-004-7616-1 
    ​Details  DOI 
  • 2006 | Journal Article
    ​ ​Solvability of partial differential equations by meshless kernel methods​
    Hon, Y. C. & Schaback, R. ​ (2006) 
    Advances in Computational Mathematics, 28(3) pp. 283​-299​.​ DOI: https://doi.org/10.1007/s10444-006-9023-2 
    ​Details  DOI 
  • 2006 | Conference Paper
    ​ ​Why Does MLPG Work?​
    Schaback, R. ​ (2006)
    ​ICCES 07​
    ​Details 
  • 2006 | Journal Article
    ​ ​Results on meshless collocation techniques​
    Ling, L.; Opfer, R. & Schaback, R. ​ (2006) 
    Engineering Analysis with Boundary Elements, 30(4) pp. 247​-253​.​ DOI: https://doi.org/10.1016/j.enganabound.2005.08.008 
    ​Details  DOI  WoS 
  • 2006 | Journal Article
    ​ ​Kernel techniques: From machine learning to meshless methods​
    Schaback, R.   & Wendland, H.​ (2006) 
    Acta Numerica, 15 pp. 543​-639​.​ DOI: https://doi.org/10.1017/S0962492906270016 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​Near-optimal data-independent point locations for radial basis function interpolation​
    Marchi, S.; Schaback, R.   & Wendland, H.​ (2005) 
    Advances in Computational Mathematics, 23(3) pp. 317​-330​.​ DOI: https://doi.org/10.1007/s10444-004-1829-1 
    ​Details  DOI  WoS 
  • 2005 | Monograph
    ​ ​Numerische Mathematik​ ​(5. ed.) 
    Schaback, R.  & Wendland, H.​ (2005)
    Berlin​: Springer.
    ​Details 
  • 2005 | Journal Article
    ​ ​Multivariate interpolation by polynomials and radial basis functions​
    Schaback, R. ​ (2005) 
    Constructive Approximation, 21(3) pp. 293​-317​.​ DOI: https://doi.org/10.1007/s00365-004-0585-2 
    ​Details  DOI  WoS 
  • 2005 | Conference Paper
    ​ ​Convergence Analysis of Methods for Solving General Equations​
    Schaback, R. ​ (2005)
    ​Proceedings. ​27th World Conference on Boundary Elements and other Mesh Reduction Methods (BEM05)​, Orlando, Florida.
    ​Details 
  • 2004 | Conference Paper
    ​ ​On Adaptive Unsymmetric Meshless Collocation​
    Ling, L. & Schaback, R. ​ (2004)
    ​Proceedings. ​International Conference on Computational & Experimental Engineering and Sciences​, Forsyth, USA.
    ​Details 
  • 2004 | Journal Article
    ​ ​Interpolation by basis functions of different scales and shapes​
    Bozzini, M.; Lenarduzzi, L.; Rossini, M. & Schaback, R. ​ (2004) 
    CALCOLO, 41(2) pp. 77​-87​.​ DOI: https://doi.org/10.1007/s10092-004-0085-6 10.1007/BF02637256 
    ​Details  DOI; DOI  WoS 
  • 2003 | Journal Article
    ​ ​An adaptive greedy algorithm for solving large RBF collocation problems​
    Hong, Y.-C.; Schaback, R.   & Zhou, X.​ (2003) 
    Numerical Algorithms, 32(1) pp. 13​-25​.​ DOI: https://doi.org/10.1023/A:1022253303343 
    ​Details  DOI  WoS 
  • 2003 | Book Chapter
    ​ ​On the Versatility of Meshless Kernel Methods​
    Schaback, R. ​ (2003)
    In:​Atluri, S. N.; Beskos, D. E.; Polyzos, D.​ (Eds.), Advances in Computational and Experimental Engineering and Sciences. 
    ​Details 
  • 2003 | Conference Paper
    ​ ​Mathematical Results Concerning Kernel Techniques​
    Schaback, R. ​ (2003)
    ​Proceedings. ​13th IFAC Symposium on System Identification​, Rotterdam.
    ​Details 
  • 2003 | Book Chapter
    ​ ​Recent Developments in the Dual Reciprocity Method Using Compactly Supported Radial Basis Functions​
    Schaback, R. ; Chen, C. S.& Golberg, M. A.​ (2003)
    In:​Rashed, Y. F.; Brebbia, C. A.​ (Eds.), Transformation of Domain Effects to the Boundary pp. 138​-225. ​Southampton, Boston: ​WIT Press.
    ​Details 
  • 2003 | Conference Abstract
    ​ ​Special Techniques for Kernel-Based Reconstruction of Functions from Meshless Data​
    Schaback, R. ​ (2003)
    ​International Workshop on Meshfree Methods​, Lisbon.
    ​Details 
  • 2002 | Journal Article
    ​ ​Adaptive interpolation by scaled multiquadrics​
    Bozzini, M.; Lenarduzzi, L. & Schaback, R. ​ (2002) 
    Advances in Computational Mathematics, 16(4) pp. 375​-387​.​ DOI: https://doi.org/10.1023/A:1014584220418 
    ​Details  DOI  WoS 
  • 2002 | Journal Article
    ​ ​Inverse and saturation theorems for radial basis function interpolation​
    Schaback, R.   & Wendland, H.​ (2002) 
    Mathematics of Computation, 71(238) art. PII S 0025-5718(01)01383-7​.​
    ​Details  WoS 
  • 2002 | Journal Article
    ​ ​Approximation in Sobolev spaces by kernel expansions​
    Narcowich, F. J.; Schaback, R.   & Ward, J. D.​ (2002) 
    Journal of Approximation Theory, 114(1) pp. 70​-83​.​ DOI: https://doi.org/10.1006/jath.2001.3637 
    ​Details  DOI  WoS 
  • 2002 | Book Chapter
    ​ ​Approximation by Positive Definite Kernels​
    Schaback, R.  & Wendland, H.​ (2002)
    In:​Buhmann, M. D.; Mache, D. H.​ (Eds.), Advanced Problems in Constructive Approximation pp. 203​-221. 
    ​Details 
  • 2002 | Book Chapter
    ​ ​Stability of Radial Basis Function Interpolants​
    Schaback, R. ​ (2002)
    In:​Chui, C. K.; Schumaker, L. L.; Stöckler, J.​ (Eds.), Approximation Theory X: Wavelets, Splines, and Applications pp. 433​-440. ​Nashville: ​Vanderbilt Univ. Press.
    ​Details 
  • 2001 | Book Chapter
    ​ ​Characterization and Construction of Radial Basis Functions​
    Schaback, R.  & Wendland, H.​ (2001)
    In:​Dyn, N.; Leviatan, D.; Levin, D.; Pinkus, A.​ (Eds.), Multivariate Approximation and Applications pp. 1​-24. ​Cambridge: ​Cambridge University Press.
    ​Details 
  • 2001 | Preprint
    ​ ​Optimal Stability Results for Interpolation by Kernel Functions​
    Schaback, R. ; Narcowich, F. J.& Ward, J. D.​ (2001)
    ​Details 
  • 2001 | Journal Article
    ​ ​On unsymmetric collocation by radial basis functions​
    Hong, Y.-C. & Schaback, R. ​ (2001) 
    Applied Mathematics and Computation, 119(2-3) pp. 177​-186​.​ DOI: https://doi.org/10.1016/S0096-3003(99)00255-6 
    ​Details  DOI  WoS 
  • 2000 | Journal Article
    ​ ​Adaptive greedy techniques for approximate solution of large RBF systems​
    Schaback, R.   & Wendland, H.​ (2000) 
    Numerical Algorithms, 24(3) pp. 239​-254​.​ DOI: https://doi.org/10.1023/A:1019105612985 
    ​Details  DOI  WoS 
  • 2000 | Conference Paper
    ​ ​Remarks on Meshless Local Construction of Surfaces​
    Schaback, R. ​ (2000)
    In:Cipolla, R.​ (Ed.), ​The mathematics of surfaces IX. Proceedings. ​Ninth IMA Conference on the Mathematics of Surfaces​, Cambridge.
    Springer.
    ​Details 
  • 2000 | Book Chapter
    ​ ​Numerical Techniques Based on Radial Basis Functions​
    Schaback, R.  & Wendland, H.​ (2000)
    In:​Cohen, Albert; Rabut, Christophe; Schumaker, Larry L.​ (Eds.), Curve and Surface Fitting: Saint-Malo 1999 pp. 359​-374. ​Vanderbilt University Press.
    ​Details 
  • 2000 | Journal Article
    ​ ​A unified theory of radial basis functions Native Hilbert spaces for radial basis functions II​
    Schaback, R. ​ (2000) 
    Journal of Computational and Applied Mathematics, 121(1-2) pp. 165​-177​.​ DOI: https://doi.org/10.1016/S0377-0427(00)00345-9 
    ​Details  DOI  WoS 
  • 1999 | Book Chapter
    ​ ​Using compactly supported radial basis functions to solve partial differential equations​
    Schaback, R.  & Wendland, H.​ (1999)
    In:​Chen, C. S.; Brebbia, C. A.; Pepper, D. W.​ (Eds.), Boundary Element Technology XIII pp. 311​-324. ​Southampton, Boston: ​WitPress.
    ​Details 
  • 1999 | Conference Paper
    ​ ​Native Hilbert Spaces for Radial Basis Functions I​
    Schaback, R. ​ (1999)
    In:Müller, Manfred W.​ (Ed.), ​New developments in approximation theory pp. 255​-282. ​2nd International Dortmund Meeting (IDoMAT)​, Dortmund.
    Dortmund​: Birkhäuser Verlag.
    ​Details 
  • 1999 | Journal Article
    ​ ​Improved Error Bounds for Scattered Data Interpolation by Radial Basis Functions​
    Schaback, R. ​ (1999) 
    Mathematics of Computation, 68(225) pp. 201​-216​.​
    ​Details 
  • 1999 | Journal Article
    ​ ​Multilevel Interpolation and Approximation​
    Narcowich, F. J.; Schaback, R.   & Ward, J. D.​ (1999) 
    Applied and Computational Harmonic Analysis, 7(3) pp. 243​-261​.​ DOI: https://doi.org/10.1006/acha.1999.0269 
    ​Details  DOI 
  • 1999 | Journal Article
    ​ ​Mathematical Model of a Laser-Induced Fluorescence Fiber-Optic Sensor Head for Trace Detection of Pollutants in Soil​
    Bünting, U.; Lewitzka, F.; Karlitschek, P. & Schaback, R. ​ (1999) 
    Applied Spectroscopy, 53(1) pp. 49​-56​.​ DOI: https://doi.org/10.1366/0003702991945218 
    ​Details  DOI 
  • 1998 | Journal Article
    ​ ​Solving partial differential equations by collocation using radial basis functions​
    Franke, C. & Schaback, R. ​ (1998) 
    Applied Mathematics and Computation, 93(1) pp. 73​-82​.​ DOI: https://doi.org/10.1016/S0096-3003(97)10104-7 
    ​Details  DOI 
  • 1998 | Journal Article
    ​ ​Convergence order estimates of meshless collocation methods using radial basis functions​
    Franke, C. & Schaback, R. ​ (1998) 
    Advances in Computational Mathematics, 8(4) pp. 381​-399​.​ DOI: https://doi.org/10.1023/A:1018916902176 
    ​Details  DOI 
  • 1998 | Book Chapter
    ​ ​Optimal Geometric Hermite Interpolation of Curves​
    Schaback, R. ​ (1998)
    In: Mathematical methods for curves and surfaces II pp. 417​-428. ​Nashville: ​Vanderbilt U. Press.
    ​Details 
  • 1997 | Journal Article
    ​ ​Construction Techniques for Highly Accurate Quasi-Interpolation Operators​
    Schaback, R.   & Wu, Z.​ (1997) 
    Journal of Approximation Theory, 91(3) pp. 320​-331​.​ DOI: https://doi.org/10.1006/jath.1996.3101 
    ​Details  DOI 
  • 1997 | Journal Article
    ​ ​Optimal Recovery of Functions in Translation-invariant Spaces of Functions​
    Schaback, R. ​ (1997) 
    Annals of Numerical Mathematics, 4 pp. 547​-555​.​
    ​Details 
  • 1997 | Book Chapter
    ​ ​Radial Basis Functions Viewed from Cubic Splines​
    Schaback, R. ​ (1997)
    In:​Nürnberger, G.; Schmidt, J. W.; Walz, G.​ (Eds.), Multivariate Approximation and Splines pp. 245​-258. ​Birkhäuser.
    ​Details 
  • 1996 | Book Chapter
    ​ ​On the Efficiency of Interpolation by Radial Basis Functions​
    Schaback, R. ​ (1996)
    In:​LeMéhauté, A.; Rabut, C.; Schumaker, L. L.​ (Eds.), Proceedings of Chamonix pp. 309​-318. 
    ​Details 
  • 1996 | Journal Article
    ​ ​Approximation by radial basis functions with finitely many centers​
    Schaback, R. ​ (1996) 
    Constructive Approximation, 12(3) pp. 331​-340​.​ DOI: https://doi.org/10.1007/BF02433047 
    ​Details  DOI 
  • 1996 | Journal Article
    ​ ​Operators on radial functions​
    Schaback, R.   & Wu, Z.​ (1996) 
    Journal of Computational and Applied Mathematics, 73(1-2) pp. 257​-270​.​ DOI: https://doi.org/10.1016/0377-0427(96)00047-7 
    ​Details  DOI 
  • 1996 | Book Chapter
    ​ ​Multivariate Interpolation and Approximation by Translates of a Basis Function​
    Schaback, R. ​ (1996)
    In:​Chui, C. K.; Schumaker, L. L.​ (Eds.), Approximation Theory VIII. ​Vanderbilt University Press.
    ​Details 
  • 1995 | Book Chapter
    ​ ​Creating Surfaces from Scattered Data Using Radial Basis Functions​
    Schaback, R. ​ (1995)
    In:​Dæhlen, M.; Lyche, T.; Schumaker, L. L.​ (Eds.), Mathematical Methods in Computer Aided Geometric Design III pp. 477​-496. ​Vanderbilt University Press.
    ​Details 
  • 1994 | Journal Article
    ​ ​Lower Bounds for Norms of Inverses of Interpolation Matrices for Radial Basis Functions​
    Schaback, R. ​ (1994) 
    Journal of Approximation Theory, 79(2) pp. 287​-306​.​ DOI: https://doi.org/10.1006/jath.1994.1130 
    ​Details  DOI 
  • 1994 | Journal Article
    ​ ​Shape preserving properties and convergence of univariate multiquadric quasi-interpolation​
    Wu, Z. & Schaback, R. ​ (1994) 
    Acta Mathematicae Applicatae Sinica, 10(4) pp. 441​-446​.​ DOI: https://doi.org/10.1007/BF02016334 
    ​Details  DOI 
  • 1994 | Book Chapter
    ​ ​Reproduction of Polynomials by Radial Basis Functions​
    Schaback, R. ​ (1994)
    In:​Laurent, P. J.; LeMéhauté, A.; Schumaker, L. L.​ (Eds.), Wavelets, Images, and Surface Fitting pp. 459​-466. ​AKPeters.
    ​Details 
  • 1994 | Journal Article
    ​ ​Limits of Bernstein-Bezier curves for periodic control nets​
    Qi, D. & Schaback, R. ​ (1994) 
    Approximation Theory and its Applications, 10 pp. 5​-16​.​ DOI: https://doi.org/10.1007/BF02836815 
    ​Details  DOI 
  • 1993 | Journal Article
    ​ ​A parallel multistage method for surface/surface intersection​
    Bürger, H. & Schaback, R. ​ (1993) 
    Computer Aided Geometric Design, 10(3-4) pp. 277​-291​.​ DOI: https://doi.org/10.1016/0167-8396(93)90042-2 
    ​Details  DOI 
  • 1993 | Book Chapter
    ​ ​Comparison of Radial Basis Function Interpolants​
    Schaback, R. ​ (1993)
    In:​Jetter, K.; Schumaker, L. L.; Utreras, F.​ (Eds.), Multivariate Approximations: From CAGD to Wavelets pp. 293​-305. ​World Scientific.
    ​Details 
  • 1993 | Journal Article
    ​ ​Planar curve interpolation by piecewise conics of arbitrary type​
    Schaback, R. ​ (1993) 
    Constructive Approximation, 9(4) pp. 373​-389​.​ DOI: https://doi.org/10.1007/BF01204647 
    ​Details  DOI 
  • 1993 | Journal Article
    ​ ​Error estimates for approximations from control nets​
    Schaback, R. ​ (1993) 
    Computer Aided Geometric Design, 10(1) pp. 57​-66​.​ DOI: https://doi.org/10.1016/0167-8396(93)90051-4 
    ​Details  DOI 
  • 1993 | Monograph
    ​ ​Numerische Mathematik​ ​(4. ed.) 
    Schaback, R.  & Werner, H.​ (1993)
    Berlin​: Springer.
    ​Details 
  • 1993 | Journal Article
    ​ ​Local error estimates for radial basis function interpolation of scattered data​
    Wu, Z.-M. & Schaback, R. ​ (1993) 
    IMA Journal of Numerical Analysis, 13(1) pp. 13​-27​.​ DOI: https://doi.org/10.1093/imanum/13.1.13 
    ​Details  DOI 
  • 1992 | Book Chapter
    ​ ​A Multi-Parameter Method for Nonlinear Least-Squares Approximation​
    Schaback, R. ​ (1992)
    In:​Braess, D.; Schumaker, L. L.​ (Eds.), Numerical Methods of Approximation Theory pp. 269​-283. ​Birkhäuser.
    ​Details 
  • 1992 | Book Chapter
    ​ ​Rational Geometric Curve Interpolation​
    Schaback, R. ​ (1992)
    In:​Lyche, T.; Schumaker, L. L.​ (Eds.), Mathematical Methods in Computer Aided Geometric Design II pp. 517​-535. ​Academic Press.
    ​Details 
  • 1992 | Book Chapter
    ​ ​Geometrical differentiation and high-accuracy curve interpolation​
    Schaback, R. ​ (1992)
    In:​Singh, S. P.​ (Ed.), Approximation Theory, Spline Functions, and Applications pp. 445​-462. ​Kluwer.
    ​Details 
  • 1990 | Preprint
    ​ ​Remarks on High Accuracy Planar Curve Interpolation​
    Schaback, R. ​ (1990)
    ​Details 
  • 1990 | Journal Article
    ​ ​Adaptive rational splines​
    Schaback, R. ​ (1990) 
    Constructive Approximation, 6(2) pp. 167​-179​.​ DOI: https://doi.org/10.1007/BF01889356 
    ​Details  DOI 
  • 1990 | Journal Article
    ​ ​An extended continuous Newton method​
    Diener, I. & Schaback, R. ​ (1990) 
    Journal of Optimization Theory and Applications, 67(1) pp. 57​-77​.​ DOI: https://doi.org/10.1007/BF00939735 
    ​Details  DOI 
  • 1989 | Journal Article
    ​ ​Interpolation in IR2 by piecewise quadratic visually C2 Bézier polynomials​
    Schaback, R. ​ (1989) 
    Computer Aided Geometric Design, 6 pp. 219​-233​.​
    ​Details 
  • 1989 | Book Chapter
    ​ ​Convergence of Planar Curve Interpolation Schemes​
    Schaback, R. ​ (1989)
    In:​Chui, C. K.; Schumaker, L. L.; Ward, J. D.​ (Eds.), Approximation Theory VI pp. 581​-584. 
    ​Details 
  • 1989 | Book Chapter
    ​ ​On Global GC2 Convexity Preserving Interpolation of Planar Curves by Piecewise Bézier Polynomials​
    Schaback, R. ​ (1989)
    In:​Lyche, T.; Schumaker, L. L.​ (Eds.), Mathematical Methods in Computer Aided Geometric Design pp. 539​-547. ​Academic Press.
    ​Details 
  • 1988 | Journal Article
    ​ ​On the Expected Sublinearity of the Boyer–Moore Algorithm​
    Schaback, R. ​ (1988) 
    SIAM Journal on Computing, 17(4) pp. 648​-658​.​ DOI: https://doi.org/10.1137/0217041 
    ​Details  DOI 
  • 1988 | Monograph | Textbook, Manual
    ​ ​Grundlagen der Informatik: ​Für das Nebenfachstudium​ ​
    Schaback, R. ​ (1988)
    Wiesbaden​: Vieweg.
    ​Details 
  • 1987 | Book Chapter
    ​ ​Convergence Theorems for Nonlinear Approximation Algorithms​
    Schaback, R. ​ (1987)
    In:​Collatz, Lothar; Meinardus, Günther; Nürnberger, Günther​ (Eds.), Numerical Methods of Approximation Theory/Numerische Methoden der Approximationstheorie pp. 188​-200. ​Basel: ​Springer. DOI: https://doi.org/10.1007/978-3-0348-6656-9_17 
    ​Details  DOI 
  • 1987 | Journal Article
    ​ ​Helmut Werner​
    Schaback, R.   & Braess, D.​ (1987) 
    Jahresbericht der Deutschen Mathematiker-Vereinigung, 89(4) pp. 179​-195​.​
    ​Details 
  • 1986 | Journal Article
    ​ ​Numerische Approximation​
    Schaback, R. ​ (1986) 
    Jahresbericht der Deutschen Mathematiker-Vereinigung, 88(2) pp. 51​-81​.​
    ​Details 
  • 1985 | Book Chapter
    ​ ​Interaktive graphische Simulation kontinuierlicher Systeme: Die Benutzerschnittstelle des Systems IMP​
    Schaback, R. ​ (1985)
    In:​Müller, D. P. F.​ (Ed.), Simulationstechnik pp. 215​-219. ​Springer.
    ​Details 
  • 1985 | Journal Article
    ​ ​Convergence analysis of the general Gauss-Newton algorithm​
    Schaback, R. ​ (1985) 
    Numerische Mathematik, 46(2) pp. 281​-309​.​ DOI: https://doi.org/10.1007/BF01390425 
    ​Details  DOI 
  • 1983 | Book Chapter
    ​ ​An interactive system for simulation and graphic evaluation of discrete and continuous systemss​
    Schaback, R.  & Krauth, J.​ (1983)
    In:​Ameling, W.​ (Ed.), First European Simulation Congress 1983 pp. 234​-238. ​Springer.
    ​Details 
  • 1982 | Journal Article
    ​ ​Fehlerabschätzungen für Koeffizienten von Exponentialsummen und Polynomen​
    Schaback, R. ​ (1982) 
    Numerische Mathematik, 39(2) pp. 293​-307​.​ DOI: https://doi.org/10.1007/BF01408701 
    ​Details  DOI 
  • 1982 | Journal Article
    ​ ​Optimal nodes for interpolation in Hardy spaces​
    Schaback, R. ​ (1982) 
    Mathematische Zeitschrift, 179(2) pp. 169​-178​.​ DOI: https://doi.org/10.1007/BF01214309 
    ​Details  DOI 
  • 1982 | Book Chapter
    ​ ​Ein interaktives System zur Simulation, Parameterschätzung und graphischen Auswertung diskreter und kontinuierlicher Modelle​
    Schaback, R. ​ (1982)
    In:​Goller, M.​ (Ed.), Simulationstechnik pp. 166​-172. ​Springer.
    ​Details 
  • 1980 | Book Chapter
    ​ ​Numerical error evaluation in linear approximation—the least-squares case​
    Schaback, R. ​ (1980)
    In: Approximation theory, III pp. 791​-798. ​New York: ​Academic Press.
    ​Details 
  • 1980 | Book Chapter
    ​ ​Bemerkungen zur Fehlerabschätzung bei linearer Tschebyscheff-Approximation​
    Schaback, R. ​ (1980)
    In: Numerical methods of approximation theory pp. 255​-276. ​Basel: ​Birkhäuser.
    ​Details 
  • 1979 | Journal Article
    ​ ​Suboptimal Exponential Approximations​
    Schaback, R. ​ (1979) 
    SIAM Journal on Numerical Analysis, 16(6) pp. 1007​-1018​.​ DOI: https://doi.org/10.1137/0716074 
    ​Details  DOI 
  • 1979 | Monograph
    ​ ​Praktische Mathematik II: ​Methoden der Analysis​ ​(2. ed.) 
    Werner, H.& Schaback, R. ​ (1979)
    Berlin​: Springer.
    ​Details 
  • 1978 | Journal Article
    ​ ​On alternation numbers in nonlinear Chebyshev approximation​
    Schaback, R. ​ (1978) 
    Journal of Approximation Theory, 23(4) pp. 379​-391​.​ DOI: https://doi.org/10.1016/0021-9045(78)90089-8 
    ​Details  DOI 
  • 1978 | Journal Article
    ​ ​Eine rundungsgenaue Formel zur maschinellen Berechnung der Prager-Oettli-Schranke​
    Schaback, R. ​ (1978) 
    Computing, 20(2) pp. 177​-182​.​ DOI: https://doi.org/10.1007/BF02252346 
    ​Details  DOI 
  • 1977 | Lecture
    ​ ​Die Beiträge von Carl-Friedrich Gauß zur Numerischen Mathematik​
    Schaback, R. ​ (1977)
    ​Details 
  • 1977 | Book Chapter
    ​ ​Die numerische Berechnung von Startnäherungen bei der Exponentialapproximation​
    Schaback, R.  & Robitzsch, H.​ (1977)
    In: Numerische Methoden der Approximationstheorie pp. 260​-280. ​Basel: ​Birkhäuser.
    ​Details 
  • 1976 | Book Chapter
    ​ ​Globale Konvergenz von Verfahren zur nichtlinearen Approximation​
    Schaback, R. ​ (1976)
    In: Approximation theory pp. 352​-363. ​Berlin: ​Springer.
    ​Details 
  • 1976 | Book Chapter
    ​ ​Finite Elemente​
    Schaback, R. ; Frehse, J.& Leis, R.​ (1976)
    In: Tagungsband des Sonderforschungsbereiches 72 p. 65). ​Bonn: ​Institut für Angewandte Mathematik, Universität Bonn.
    ​Details 
  • 1976 | Conference Proceedings
    ​ ​Approximation Theory: ​Proceedings of an International Conference Held at Bonn, Germany, June 8-11 1976​
    Schaback, R. ​ (Ed.) (1976)
    International Colloquium on Approximation Theory​, Bonn.
    Berlin​: Springer.
    ​Details 
  • 1976 | Book Chapter
    ​ ​Calculation of best approximations by rational splines​
    Schaback, R. ​ (1976)
    In: Approximation theory, II pp. 533​-539. ​New York: ​Academic Press.
    ​Details 
  • 1974 | Book Chapter
    ​ ​Kollokation mit mehrdimensionalen Spline-Funktionen​
    Schaback, R. ​ (1974)
    In: Numerische Behandlung nichtlinearer Integrodifferential- und Differentialgleichungen pp. 291​-300. ​Berlin: ​Springer.
    ​Details 
  • 1974 | Monograph
    ​ ​Eine Bibliographie zur nichtlinearen Approximationstheorie​ ​
    Braess, D.; Brink-Spalink, J.& Schaback, R. ​ (1974)
    Bonn​: Universität Bonn.
    ​Details 
  • 1974 | Book Chapter
    ​ ​Konstruktion von Spline-Interpolierenden und Peano-Kernen​
    Schaback, R. ​ (1974)
    In: Spline-Funktionen pp. 243​-255. ​Mannheim: ​Bibliographisches Inst..
    ​Details 
  • 1973 | Journal Article
    ​ ​Interpolation mit nichtlinearen Klassen von Spline-Funktionen​
    Schaback, R. ​ (1973) 
    Journal of Approximation Theory, 8(2) pp. 173​-188​.​ DOI: https://doi.org/10.1016/0021-9045(73)90026-9 
    ​Details  DOI 
  • 1973 | Journal Article
    ​ ​Optimale Interpolations- und Approximationssysteme​
    Schaback, R. ​ (1973) 
    Mathematische Zeitschrift, 130 pp. 339​-349​.​
    ​Details 
  • 1973 | Book Chapter
    ​ ​Ein Optimierungsproblem aus der Kristallographie​
    Schaback, R. ​ (1973)
    In: Numerische Methoden bei Optimierungsaufgaben pp. 113​-123. ​Basel: ​Birkhäuser.
    ​Details 
  • 1973 | Journal Article
    ​ ​Konstruktion und algebraische Eigenschaften vonM-Spline-Interpolierenden​
    Schaback, R. ​ (1973) 
    Numerische Mathematik, 21(2) pp. 166​-180​.​ DOI: https://doi.org/10.1007/BF01436302 
    ​Details  DOI 
  • 1973 | Journal Article
    ​ ​Spezielle rationale Splinefunktionen​
    Schaback, R. ​ (1973) 
    Journal of Approximation Theory, 7(3) pp. 281​-292​.​ DOI: https://doi.org/10.1016/0021-9045(73)90072-5 
    ​Details  DOI 
  • 1972 | Monograph
    ​ ​Praktische Mathematik II: ​Methoden der Analysis​ ​(1. ed.) 
    Werner, H.& Schaback, R. ​ (1972)
    Berlin​: Springer.
    ​Details 
  • 1972 | Book Chapter
    ​ ​Anwendungen der konvexen Optimierung auf Approximationstheorie und Splinefunktionen​
    Schaback, R. ​ (1972)
    In: Methoden und Verfahren der mathematischen Physik pp. 129​-151. (Vol. 6). ​Mannheim: ​Bibliographisches Inst..
    ​Details 
  • 1970 | Monograph
    ​ ​Praktische Mathematik​ ​(Vol. 1) 
    Werner, H.& Schaback, R. ​ (1970)
    Berlin​: Springer.
    ​Details 
  • 1970 | Journal Article
    ​ ​Eine Lösungsmethode für die lineare Tschebyscheff-Approximation bei nicht erfüllter Haarscher Bedingung​
    Schaback, R.   & Braess, D.​ (1970) 
    Computing, 6(3-4) pp. 289​-294​.​ DOI: https://doi.org/10.1007/BF02238813 
    ​Details  DOI 

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